New Exact Solutions for the(2+1)-Dimensional Broer-Kaup-Kupershmidt Equations-Reference-Cited by-同舟云学术

New Exact Solutions for the(2+1)-Dimensional Broer-Kaup-Kupershmidt Equations

Published:2010 Issue: Volume:2010 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Song Ming¹,Li Shaoyong²,Cao Jun¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, China

2. College of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, China

Abstract

We investigate the(2+1)-dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.

Funder

Natural Science Foundation of Yunnan Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/652649.pdf

Reference19 articles.

1. The extended Fan's sub-equation method and its application to KdV–MKdV, BKK and variant Boussinesq equations

2. The modified extended Fan sub-equation method and its application to the (2+1)-dimensional Broer–Kaup–Kupershmidt equation

3. Further improved extended Fan sub-equation method and new exact solutions of the (2+1)-dimensional Broer–Kaup–Kupershmidt equations